1.3 Points, Lines, and Planes

1. 1.3 Points, Lines, and Planes

2. Points • __________________________________________________________________________ • It has no __________ • Represented by a ____________ _________ • Named with a ______________ ___________ • Points are also called ___________________ or an _________________ ___________

3. Space • __________________________________________________________________________

4. Lines • __________________________________________________________________________ • Must have ________________________ • Has no ___________________ • There are an _____________________ number of ________________ on a line

5. There are __________ ways to name a line • ___________________________________ • Read “____________________”

6. 2. ____________________________________ • Read “_____________” or “_____________” • Written ______________________________ • Order _________________ _______________, all are _____________ • Do not name a line with ___________ _____ __________ points • C • B A

7. *Activity*

8. Collinear – __________________________________________________________________________ • Non-collinear – __________________________________________________________________________ E • C • B A

9. _______, _______, and _______ are collinear • _______ and _______ are collinear • ______ is non-collinear to ______ and ______

10. Postulates • Also called an axiom • Defined as an accepted statement of fact

11. Postulate 1-1 _____________________________________________________________________________________________________________________

12. Postulate 1-2 _____________________________________________________________________________________________________________________

13. If three non-collinear points do not form a line, what do they form? • Postulate 1-4 _____________________________________________________________________________________________________________________

14. Planes • A plane is a _________ ____________ made up of ____________ that extend forever in all directions • Represented by a ______________ • _______ do not have to be the ___________ • A plane has no _____________ • A plane has no ___________________ • There are an ____________ ___________ of ______________ on a plane

15. There are two ways to name a plane • ___________________ • Read “_____________” 2. At least three ________________ _________ • Read “_____________” or “_____________” P P Z A C M

16. Coplanar – __________________________________________________________________________ _______, _______, _______, and _______ are coplanar • Non-coplanar – __________________________________________________________________________ _______ is non-coplanar with _______, _______, _______, and _______

17. Postulate 1-3 _____________________________________________________________________________________________________________________

18. Test Your Understanding(True or False) • A point is a location in space with a definite size __________ • A line must be drawn with arrowheads__________ • The symbol t represents a plane __________ • A plane is represented by a circle __________ • Lines can only contain two points __________ • Points that lie on the same plane are coplanar __________

19. Homework • Diagnostic Test Page xxx #22-27, 30-34